Mersenne Digest          Thursday, 18 February 1999     Volume 01 : Number 511


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From: "Olivier Langlois" <[EMAIL PROTECTED]>
Date: Wed, 17 Feb 1999 02:41:14 -0500
Subject: Re: Mersenne: Link from Knuth's Home Page

- -----Original Message-----
From: Todd Sauke <[EMAIL PROTECTED]>
To: [EMAIL PROTECTED] <[EMAIL PROTECTED]>
Date: 16 f�vrier, 1999 19:31
Subject: Re: Mersenne: Link from Knuth's Home Page

>Paul Derbyshire wrote:
>
>>What the devil is a "fascicle"?
>
>My first thought was "Why not just look it up in the dictionary?"
>I was amused that my Webster's New Collegiate Dictionary's first definition
>of fascicle is "an inflorescence consisting of a compacted cyme less
>capitate than a glomerule"
>. . . Okaayyyy

fascicule is a french word which means a small publication.
>
>Todd Sauke
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>

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From: "Adam Atkinson" <[EMAIL PROTECTED]>
Date: 17 Feb 99 14:09:22 +0000
Subject: RE: Mersenne: Link from Knuth's Home Page

Note that the Fascist party in Italy was called this because its
symbol had a bundle of something (wheat? twigs?) in the middle, and
the Italian for bundle is "fascio".

- -- 
Adam Atkinson ([EMAIL PROTECTED])
It is a sobering thought, for example, that when Mozart was my age, he had
been dead for two years. (T. Lehrer)

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From: "Vincent J. Mooney Jr." <[EMAIL PROTECTED]>
Date: Wed, 17 Feb 1999 12:45:32 -0500 (EST)
Subject: RE: Mersenne: Link from Knuth's Home Page

Yes.  The Romans used the word "fasces" to decribe a bundle of sticks bound
together to hold an axe at one end (a picture would be worth a lot but I
don't have one).  The cord was wrapped around the bundle. The axe was used
in war as well as construction.  Benito Mussolini and the Italians knew
about this, being well steeped in Italian, i.e., Roman history.  Beniti
coined fascist from "fasces" telling the Italians that they were  strong if
bound together. 

History lesson for the day.

At 02:09 PM 2/17/99 +0000, you wrote:
>Note that the Fascist party in Italy was called this because its
>symbol had a bundle of something (wheat? twigs?) in the middle, and
>the Italian for bundle is "fascio".
>
>-- 
>Adam Atkinson ([EMAIL PROTECTED])
>It is a sobering thought, for example, that when Mozart was my age, he had
>been dead for two years. (T. Lehrer)
>
>________________________________________________________________
>Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
>

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From: "Sander Hoogendoorn" <[EMAIL PROTECTED]>
Date: Wed, 17 Feb 1999 11:47:53 PST
Subject: Mersenne: Completely Factored

Can sombody please tell me when a number is completely factored?

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From: [EMAIL PROTECTED]
Date: Thu, 18 Feb 1999 04:55:57 +0100 (MET)
Subject: Re:  Mersenne: Completely Factored

"Sander Hoogendoorn" <[EMAIL PROTECTED]> asks

> Can sombody please tell me when a number is completely factored?

      The prime factors of 2^29 - 1 are 233, 1103, and 2089.
The equation

        2^29 - 1 = 233 * 1103 * 2089

gives the _factorization_ or _complete factorization_ of 2^29 - 1.
Whereas

        2^29 - 1 = 233 * 2304167          (where 2304167 = 1103 * 2089)
        2^29 - 1 = 1103 * 486737          (where 486737 = 233 * 2089)
        2^29 - 1 = 2089 * 256999          (where 256999 = 233 * 1103)

are _partial factorizations_ of 2^29 - 1.  A complete factorization
factors a number into prime factors.  A partial factorization
allows composite cofactors (which are smaller than the original number).

      If someone finds the factor 233 of 2^29 - 1, he/she can compute
the cofactor 2304167, and subject the cofactor to a probable prime test.  
If the cofactor is definitely composite, we have
only a partial factorization, and more work is needed.
If instead the cofactor passes the probable prime test, 
we try to prove it prime so we can be sure the factorization is complete.


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From: Henk Stokhorst <[EMAIL PROTECTED]>
Date: Thu, 18 Feb 1999 08:48:11 +0100
Subject: Re: Mersenne: Completely Factored

Sander Hoogendoorn wrote:

> Can sombody please tell me when a number is completely factored?

When all factors of a number are known to be primes.

YotN,

Henk Stokhorst

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From: "Brian J Beesley" <[EMAIL PROTECTED]>
Date: Thu, 18 Feb 1999 08:36:32 GMT
Subject: Mersenne: Off-topic postings

Hey, guys, I'm interested in Mersenne numbers, not fascicles, 
facists, or, for that matter, faeces.

Please start a new list if you want to continue the "f" thread!

Regards
Brian Beesley
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From: Curtis Cooper <[EMAIL PROTECTED]>
Date: Thu, 18 Feb 1999 20:03:44 -0600
Subject: Mersenne: Problem Running NTPrime

Hi,

 I am trying to run NTPrime Version 17.1 as a service
 under Windows NT 4.0.  I have been having trouble
 keeping it running; it seems like the System Idle
 Process will take control of the CPU.  Things
 will run fine for a day or two; NTPrime will
 start automatically and when I check the Task Manager
 it is using 99% of the CPU.  But then I will come back a day or
 so later and sometime during that time period the
 System Idle Process took control and is running
 at 99% CPU usage and NTPrime has 0%.

 To get things corrected, I have tried increasing the
 priority of NTPrime.  This did not help.  I also tried
 rebooting the machine.  This  did not help.  What did work
 was to stop the Prime Service, remove the service,
 reboot the  machine, reinstall the service, and then start
 the service again.

 Before I starting running NTPrime, I ran Prime95
 under Windows NT on this Dell computer.  However, I ran it
 manually instead of automatically like I am now.

 Is there an explanation why the System Idle Process is taking
 control of the CPU?  

 Thanks in advance for any help.

 Curtis Cooper
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End of Mersenne Digest V1 #511
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